Latex Stuff, Don't mind this , don't post anything here

Latex Stuff, Don't mind this , don't post anything here

Note by A Former Brilliant Member
9 months, 1 week ago

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  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
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2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Integral over space in polar coordinates

2π00f(r,θ) r dr dθ\displaystyle\int_{2\pi}^{0} \int_{\infty}^{0} f(r,θ) \ r \ dr \ dθ

A Former Brilliant Member - 9 months, 1 week ago

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You meant

2π00f(r,θ)rdrdθ\displaystyle \int_{2\pi}^0 \int_\infty^0 f(r, \theta)r \text d r \text d \theta?

Elijah L - 9 months, 1 week ago

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Yes, I changed the Latex, thanks! I just put spaces between r dr dθ to avoid confusion. I get confused a lot with them. lol

A Former Brilliant Member - 9 months, 1 week ago

Gaussian (normal) Distribution

12πσe(xμ)22σ2\dfrac{1}{\sqrt{2\pi}\sigma} \text{e}^{\dfrac{(x-\mu)^{2}}{2 \sigma^{2}}}

A Former Brilliant Member - 9 months, 1 week ago

Nth roots of unity

zn=1z=e2πinz^{n} = 1 ⇒ z = e^{\dfrac{2πi}{n}}

A Former Brilliant Member - 9 months, 1 week ago

Cauchy's Integral Formula

f(a)=12πiγf(z)zadzf(a) = \dfrac{1}{2\pi i} \displaystyle\oint_{\gamma} \dfrac{f(z)}{z-a} dz

A Former Brilliant Member - 9 months, 1 week ago

Fourier Transform

f(x)=F(k)e2πikxdkf(x) = \displaystyle\int_{- \infty}^{\infty} F(k) e^{2\pi i k x} dk

F(k)=f(x)e2πikxdxF(k) = \displaystyle\int_{- \infty}^{\infty} f(x) e^{-2\pi i k x} dx

A Former Brilliant Member - 9 months, 1 week ago

Riemann Zeta Function

ς(2n)=k=112kn          =B2n2(2n)!(2π)2n, n=1,2,3,......\varsigma (2n) = \displaystyle\sum_{k = 1}^{\infty} \dfrac{1}{2^{kn}} \\ \\ \ \text{ } \ \ \ \ \ \ \ \ = \dfrac{|B_{2n}|}{2(2n)!} (2 \pi)^{2n}, \text{ } n = 1,2,3,......

A Former Brilliant Member - 9 months, 1 week ago

you day not to interfere with your latex testing yet you put a abyss in mine

NSCS 747 - 9 months, 1 week ago

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This isn't just testing Latex, I'm writing actual formula's here. These are all pi and tau related formulas

A Former Brilliant Member - 9 months, 1 week ago

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title...

NSCS 747 - 9 months, 1 week ago

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@Nscs 747 .....has been changed @Nathan Soliman

A Former Brilliant Member - 9 months, 1 week ago

A good observation in these formula's is that each of them has 2*pi which is tau. So Tau simplifies these formulas @Nathan Soliman

A Former Brilliant Member - 9 months, 1 week ago

Nice τ\tau formulas, @Percy Jackson!

Yajat Shamji - 9 months, 1 week ago

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Thanks!

A Former Brilliant Member - 9 months, 1 week ago

τ=32limn(n+1)k=1nk2(2k+1)2\large\tau \normalsize = 32 \displaystyle\lim_{n\to\infty} (n+1) \prod_{k=1}^{n} \dfrac{k^{2}}{(2k + 1)^{2}}

A Former Brilliant Member - 9 months, 1 week ago

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Cool.

Yajat Shamji - 9 months, 1 week ago

[10420647:Percy Jackson]

NSCS 747 - 9 months, 1 week ago

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@Nathan Soliman - I put my mention ID in my Bio for other's convenience. Now you don't need to follow Ham's method, just copy my id from my Bio.

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thats what i just did.. does it do anything if i say it like that or do i have to copy and paster the full thing with the word mention and corner brackets

NSCS 747 - 9 months ago

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@Nscs 747 the full thing

LOL, I'll just act like I didn't read that :)

But good idea, I'll do that as well...

Frisk Dreemurr - 8 months, 3 weeks ago

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@Frisk Dreemurr @Frisk Dreemurr, mention[10427613:Frisk Dreemurr]

Frisk Dreemurr - 8 months, 3 weeks ago
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